Grade 8 - Cubes-and-Cube-Root

(Sample Printed worksheet)

Answer The Following

1)There are two numbers such that sum of the numbers is 50 and their difference is 14. Find the difference of their cubes .
2)Solve the following:
X
3)Which of the following numbers is a perfect cube?
27003, 998, 24389, 4102
4)Which of the following statements is false:
The sum of the cubes of the first n natural numbers is equal to the square of their sum
A number that has the last digit as 6 will have 6 as the last digit of its cube
All numbers that ends with '000' will be perfect cubes
If a number is divisible by a prime number p then the cube of that number is divisible by p3
5)Find the value of A if

Choose correct answer(s) from given choice

6)If you subtract a number x from 16 times that number, and then take the cube of the difference, what will the result be?
a. 4096x3 b. 3375x3
c. 3412x2 d. 3303x2
7)What is the value of
a.  
12
29
 
b.  
144
29
 
c.  
15
29
 
d.  
29
12
 
8)What is the value of
a.  
-6
13
 
b.  
13
-6
 
c.  
-4
13
 
d.  
36
13
 
9)Solve the following :
a. 148126 b. 148877
c. 149292 d. 2809

Fill in the blanks

10)If a cube has a surface area of 6144 m2, then the volume of the cube is m3

Answers

1) 26936

2) -160

3) 24389

4) All numbers that ends with '000' will be perfect cubes

5) 2

6) b. 3375x3
7) a.  
12
29
 

8) a.  
-6
13
 

9) b. 148877
10)  
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